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Physics-Informed Neural Networks (PINNs) combine deep learning with physical constraints for solving partial differential equations (PDEs), and are widely applied in fluid mechanics, heat transfer, and solid mechanics. However, PINN…

机器学习 · 计算机科学 2026-05-18 Xujia Chen , Xinyue Hu , Letian Chen , Daming Shi , Wenhui Fan

Since the seminal work of [9] and their Physics-Informed neural networks (PINNs), many efforts have been conducted towards solving partial differential equations (PDEs) with Deep Learning models. However, some challenges remain, for…

机器学习 · 计算机科学 2023-11-27 Marien Chenaud , José Alves , Frédéric Magoulès

This work proposes a wavelet-based physics-informed quantum neural network framework to efficiently address multiscale partial differential equations that involve sharp gradients, stiffness, rapid local variations, and highly oscillatory…

机器学习 · 计算机科学 2025-12-10 Deepak Gupta , Himanshu Pandey , Ratikanta Behera

This paper introduces an adaptive physics-guided neural network (APGNN) framework for predicting quality attributes from image data by integrating physical laws into deep learning models. The APGNN adaptively balances data-driven and…

统计方法学 · 统计学 2024-11-18 David Shulman , Itai Dattner

We propose a new physics-informed neural network framework, IDPINN, based on the enhancement of initialization and domain decomposition to improve prediction accuracy. We train a PINN using a small dataset to obtain an initial network…

机器学习 · 计算机科学 2024-06-06 Chenhao Si , Ming Yan

In this paper, we develop a deep learning approach for the accurate solution of challenging problems of near-field microscopy that leverages the powerful framework of physics-informed neural networks (PINNs) for the inversion of the complex…

光学 · 物理学 2024-06-12 Yuyao Chen , Luca Dal Negro

The fusion of artificial intelligence (AI) with physics-guided frameworks has opened transformative avenues for advancing the design and optimization of electromagnetic and nanophotonic systems. Innovations in deep neural networks (DNNs)…

Physics-informed neural networks (PINNs) are a class of deep learning models that utilize physics in the form of differential equations to address complex problems, including those with limited data availability. However, solving…

机器学习 · 计算机科学 2026-03-26 Himanshu Pandey , Anshima Singh , Ratikanta Behera

Surrogate modeling is used to replace computationally expensive simulations. Neural networks have been widely applied as surrogate models that enable efficient evaluations over complex physical systems. Despite this, neural networks are…

机器学习 · 计算机科学 2024-02-13 Hao Chen , Gonzalo E. Constante Flores , Can Li

Physics-informed neural networks (PINNs) have recently become a powerful tool for solving partial differential equations (PDEs). However, finding a set of neural network parameters that lead to fulfilling a PDE can be challenging and…

机器学习 · 计算机科学 2023-04-12 Aleksandr Dekhovich , Marcel H. F. Sluiter , David M. J. Tax , Miguel A. Bessa

This work addresses the development of a physics-informed neural network (PINN) with a loss term derived from a discretized time-dependent reduced-order system. In this work, first, the governing equations are discretized using a finite…

数值分析 · 数学 2024-01-30 Rahul Halder , Giovanni Stabile , Gianluigi Rozza

Physics-Informed Neural Networks (PINN) are a machine learning tool that can be used to solve direct and inverse problems related to models described by Partial Differential Equations. This paper proposes an adaptive inverse PINN applied to…

数值分析 · 数学 2024-11-28 Marco Berardi , Fabio Difonzo , Matteo Icardi

Traditional numerical methods often struggle with the complexity and scale of modeling pollutant transport across vast and dynamic oceanic domains. This paper introduces a Physics-Informed Neural Network (PINN) framework to simulate the…

We present the application of a class of deep learning, known as Physics Informed Neural Networks (PINN), to learning and discovery in solid mechanics. We explain how to incorporate the momentum balance and constitutive relations into PINN,…

机器学习 · 计算机科学 2020-05-12 Ehsan Haghighat , Maziar Raissi , Adrian Moure , Hector Gomez , Ruben Juanes

We develop a physics-informed neural network (PINN) to significantly augment state-of-the-art experimental data and apply it to stratified flows. The PINN is a fully-connected deep neural network fed with time-resolved, three-component…

流体动力学 · 物理学 2023-09-27 Lu Zhu , Xianyang Jiang , Adrien Lefauve , Rich R. Kerswell , P. F. Linden

Physics-informed neural networks (PINNs) provide a powerful framework for learning governing equations of dynamical systems from data. Biologically-informed neural networks (BINNs) are a variant of PINNs that preserve the known differential…

机器学习 · 计算机科学 2026-04-21 William Lavery , Jodie A. Cochrane , Christian Olesen , Dagim S. Tadele , John T. Nardini , Sara Hamis

Seismic events, among many other natural hazards, reduce due functionality and exacerbate vulnerability of in-service buildings. Accurate modeling and prediction of building's response subjected to earthquakes makes possible to evaluate…

信号处理 · 电气工程与系统科学 2019-09-19 Ruiyang Zhang , Yang Liu , Hao Sun

The physics informed neural network (PINN) is a promising method for solving time-evolution partial differential equations (PDEs). However, the standard PINN method may fail to solve the PDEs with strongly nonlinear characteristics or those…

数值分析 · 数学 2023-06-08 Jiawei Guo , Yanzhong Yao , Han Wang , Tongxiang Gu

Physics-Informed Neural Networks (PINNs) present a transformative approach for smart grid modeling by integrating physical laws directly into learning frameworks, addressing critical challenges of data scarcity and physical consistency in…

机器学习 · 计算机科学 2025-09-01 Julen Cestero , Carmine Delle Femine , Kenji S. Muro , Marco Quartulli , Marcello Restelli

Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems, whose basic concept is to embed physical laws to constrain/inform neural networks, with the need of less data for training…

流体动力学 · 物理学 2020-11-24 Chengping Rao , Hao Sun , Yang Liu